The equation of a line is written as y = mx + b, where m is the slope and b is the y intercept.
You are given the slope: 5
The y-intercept is the y value when x is 0, this is also the point given to you (0,4), so the y-intercept (b) is 4.
The equation is y = 5x +4
Answer:
1:6
5:30
?:426
You would take the ratio of each one which is simply 1:6, so to reduce ?:426 into 1:6, you would divide 426/6=71, so it would be
71:426
The answer is 42 why, because 42 divided by 6 equals 7 plus 14 is 21 and then you double it so it's 42.
Answer:

General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Algebra I</u>
- Slope Formula:

Step-by-step explanation:
<u>Step 1: Define</u>
<em>Find points from graph</em>
Point (-2, 0)
Point (1, 5)
<u>Step 2: Find slope </u><em><u>m</u></em>
- Substitute:

- Subtract/Add:

Answer: 289 ft.
Explanation:
You can form a right triangle with these features:
1) Base = adjacent-leg = 500 feet
2) angle between the hypotenuse and the base = 30° ( I use 30° instead of 30', because 30' does not make sense, it is a too small angle)
3) Height = opposite-leg = height of the Statue of LIberty = x
Now, use the equation for the trigonometric ratio tangent:
tan(angle) = opposite-leg / adjacent-leg
=> tan (30°) = x / 500ft
=> x = 500ft * tan(30°)
x = 288.67 ft which rounded to the nearest foot is 289 ft.